JOINT VALUE-DISTRIBUTION OF DIRICHLET SERIES ASSOCIATED WITH PERIODIC ARITHMETICAL FUNCTIONS

FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI（2020）

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摘要

We prove a joint universality theorem for two Dirichlet series associated with periodic arithmetical functions, resp. their analytic continutations. This result is applied to prove a uniqueness theorem which in particular shows that Hurwitz zeta-functions with a rational parameter do not share any complex value.

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关键词

periodic arithmetical function,zeta-functions,sharing values

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